摘要 本研究之目的是在廣義線性模型下，利用Royall and Tsou（2003）提出的強韌概似函數方法，以常態分配當作實作模型，來提供離散參數（dispersion parameter）之迴歸係數之強韌有母數推論。 Abstract This thesis utilizes the robust likelihood technique proposed by Royall and Tsou(2003) to develop parametric robust inferences about regression parameters for the dispersion in generalized linear models. The dispersion is related to its regression parameters also through a link function. More specifically, the normal model is corrected to become robust. With large samples the adjusted normal likelihood is asymptotically legitimate for the parameter of interest, without the knowledge of the true underlying distributions. Simulations are used to demonstrate the efficacy of the proposed robust method.
